{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](http://osloyi5le.bkt.clouddn.com/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0%E5%B7%A5%E7%A8%8B%E5%B8%88banner.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2016美国总统选举数据分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "传统的观点认为美国的政治已经变得越来越党派化了。这也被称为部落主义—一种政治的意识形态受身份影响的情况。这种政治部落化的情况通常会导致两个阵营出现地理位置上的隔离。\n",
    "\n",
    "在民众投票方面，相比于2012年选举，在2016年的选举中，两党获得的票数更加接近。但这是否意味着越来越多的美国人是和与自己所投选票不同的人住在一起的呢？ 各州的整体投票结果可能会对我们产生误导。 例如，有人可能会认为，在宾夕法尼亚州，我们能找到很多民主党支持者与共和党支持者做邻居的情况，因为这个州共和党与民主党的票数结果十分的接近。 然而，各县的投票结果却讲述了一个不同的故事。 那么就让我们来探讨一下这些数字。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "_cell_guid": "48ba8931-cd20-1c93-f112-1c4af0182448"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "US_County_Level_Presidential_Results_12-16.csv\n",
      "county_facts.csv\n",
      "county_facts_dictionary.csv\n",
      "presidential_polls.csv\n",
      "votes.csv\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import numpy as np # linear algebra (线性代数计算库)\n",
    "import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)数据分析处理库，内含CSV文件交互命令，如 pd.read_csv 读取文件)\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "from scipy.signal import savgol_filter\n",
    "from subprocess import check_output\n",
    "print(check_output([\"ls\", \"./input\"]).decode(\"utf8\"))\n",
    "\n",
    "votes = pd.read_csv('./input/votes.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**让我们看看县级结果的分布（依据百分比差异）**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "_cell_guid": "3f5a3181-4fe3-8905-9b38-6415bbad5e4c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x10894f940>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(100*votes.per_point_diff_2016)\n",
    "sns.distplot(100*votes.per_point_diff_2012)\n",
    "plt.xlim([-100,100])\n",
    "plt.xlabel('Democrats Margin [%]')\n",
    "plt.title('Counties results distribution')\n",
    "plt.legend(['2016','2012'], fontsize = 20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们可以看到，直方图向左移动到了对特朗普有利的一边，这是意料之中的结果。然而，右边民主党直方图的尾部并没有移动。直方图并不是简单的平移，而是变得更加倾斜集中了。\n",
    "\n",
    "简单地统计各县的数目是很容易让人困惑的。特朗普和罗姆尼都赢得了绝大多数县的选票，却输掉了普选票。这是因为各县的人口规模不同，并且最大的县也就是城市通常是民主党人的天下。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "让我们来定义一下两极分化程度 – 这是指民主党支持者和共和党支持者之间的差异（无论是哪个党派拿下了县，计算以%为单位的绝对值差异），然后让我们来看看相比于2012年，又分别有多少人（至少是投票者）生活在各个两极分化程度的地区。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "_cell_guid": "5413fb34-a022-011d-1a0d-3892208d08b3"
   },
   "outputs": [],
   "source": [
    "votes['round_diff_16'] = 100*round(votes.per_point_diff_2016,2)\n",
    "votes['abs_diff_16'] = np.abs(votes['round_diff_16'])\n",
    "votes['round_diff_12'] = 100*round(votes.per_point_diff_2012,2)\n",
    "votes['abs_diff_12'] = np.abs(votes['round_diff_12'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "_cell_guid": "da3116a1-3cc6-0f35-55f8-17e979b2784e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'2016 results showed more polarization')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('fivethirtyeight')\n",
    "people_16 = []\n",
    "people_12 = []\n",
    "for difference in np.arange(0,100):\n",
    "    people_16.append(np.sum(votes.total_votes_2016[votes.abs_diff_16 == difference]))\n",
    "    people_12.append(np.sum(votes.total_votes_2016[votes.abs_diff_12 == difference]))\n",
    "plt.plot(np.arange(0,100),people_16, 'o', alpha =0.2,  color = 'b')\n",
    "yhat_16 =savgol_filter(people_16, 51, 3)\n",
    "plt.plot(yhat_16,'b')\n",
    "plt.plot(np.arange(0,100),people_12,'o', alpha =0.2, color = 'r')\n",
    "yhat_12 =savgol_filter(people_12, 51, 3)\n",
    "plt.plot(yhat_12,'r')\n",
    "plt.xlim([0,70])\n",
    "plt.ylim([100000,6000000])\n",
    "plt.ylabel('Number of voters living in counties')\n",
    "plt.xlabel('Difference between democrats and republicans (absolute value in %)')\n",
    "plt.legend(['2016','2016 Running mean','2012','2012 Running mean'])\n",
    "plt.title('2016 results showed more polarization')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**在2016年越来越多的人居住在存在两极分化的县，即便两党普选票数结果更接近了。**\n",
    "\n",
    "我们可以发现从2016年起上图中的蓝色曲线向右移动了。县里居住的人越多，该县选票结果的差异就会越大。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "**是否两边都变得一样两极分化了呢？**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "_cell_guid": "16fe782d-c29d-673c-e198-faf5dc033b36"
   },
   "outputs": [],
   "source": [
    "obama = votes[votes.per_point_diff_2012>0]\n",
    "romney = votes[votes.per_point_diff_2012<0]\n",
    "\n",
    "more_dem_dem = np.true_divide(len(obama[obama.per_point_diff_2012<obama.per_point_diff_2016]), len(obama))\n",
    "more_rep_dem = np.true_divide(len(obama[obama.per_point_diff_2012>obama.per_point_diff_2016]), len(obama))\n",
    "flipped_dem = np.true_divide(len(obama[obama.per_point_diff_2016<0]), len(obama))\n",
    "\n",
    "more_dem_rep = np.true_divide(len(romney[romney.per_point_diff_2012<romney.per_point_diff_2016]), len(romney))\n",
    "more_rep_rep = np.true_divide(len(romney[romney.per_point_diff_2012>romney.per_point_diff_2016]), len(romney))\n",
    "flipped_rep = np.true_divide(len(romney[romney.per_point_diff_2016>0]), len(romney))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "_cell_guid": "73d16b99-f9ce-faa9-9bea-54cb085ff531"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Republican Counties got more polarized')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar([1],[more_dem_dem], color = 'b')\n",
    "plt.bar(1,more_rep_dem - flipped_dem, bottom=more_dem_dem, color = 'b', alpha = 0.3)\n",
    "plt.bar(1,flipped_dem, bottom= 1 - flipped_dem, color = 'r', alpha = 0.5)\n",
    "\n",
    "plt.bar([2],[more_rep_rep],color = 'r')\n",
    "plt.bar(2,more_dem_rep - flipped_rep, bottom = more_rep_rep, color = 'r', alpha = 0.3)\n",
    "plt.bar(2,flipped_rep, bottom = 1 - flipped_rep, color = 'b', alpha = 0.5)\n",
    "\n",
    "plt.xticks([1.4,2.4], ['Democrats in 2012','Republicans in 2012'])\n",
    "plt.legend(['More Polarized - Dem','Less Polarized - Dem', 'Flipped - Dem','More Polarized - Rep','Less Polarized - Rep', ' Flipped - Rep'], loc = 6)\n",
    "plt.title('Republican Counties got more polarized')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "共和党已经占优势的县，变得越来越偏向共和党。并且从某种程度来说克林顿并没有奥巴马那样受欢迎，通过这一事实我们不难预测出民主党的前途越发的迷茫。大部分在2012将选票投给民主党的县在2016投给民主党的选票变少了，并且30%的县转而将票投给了共和党（大部分是工业衰落地区的县）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> 翻译：黄殿钦，胡新华，丫头要美"
   ]
  }
 ],
 "metadata": {
  "_change_revision": 0,
  "_is_fork": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
